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frosja888 [35]
3 years ago
12

What are the excluded values of x for

title=" \frac{x+1}{x^2-1} " alt=" \frac{x+1}{x^2-1} " align="absmiddle" class="latex-formula">
A. x = –1, x = 0, x = 1
B. x = –1, x = 0
C. x = 0, x = 1
D. x = –1, x = 1
Mathematics
2 answers:
NISA [10]3 years ago
8 0
Denominator:

x^2-1=(x+1)(x-1)=\big(x-(-1)\big)(x-1)

so excluded values are x =  -1 and x = 1.

Answer D.
Nataly_w [17]3 years ago
5 0

The answer would be D. x=-1, x=1


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What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

6 0
2 years ago
After 5 years, a $2,450 investment is worth $3,123.75.
kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>t = time (years)</em>

<em />

The first step is to find the interest gained from the investment.

3,123.75-2,450=673.75

Next, plug in the values into the equation:

r=\frac{673.75}{(2,450)(5)}     Multiply the bottom values

r=\frac{673.75}{12,550}         Divide the values

r=.055

The last step is to convert 0.055 into a percent:

0.055(100)=5.5

The interest rate is 5.5%

3 0
3 years ago
A daily mail is delivered to your house between 1:00 p.m. and 5:00 p.m. Assume delivery times follow the continuous uniform dist
german

Answer:

25% of deliveries

Step-by-step explanation:

This is a uniform distribution with parameters a = 1.00 and b =5.00. With these conditions, the following probability distribution functions can be applied:

P(X \leq x)=\frac{x-a}{b-a}=\frac{x-1.00}{5.00-1.00}\\P(X \leq x) = \frac{x-1}{4}\\P(X \geq x) = 1- P(X \leq x) \\P(X \geq x)=1- \frac{x-1}{4}

Therefore, the probability that X ≥ 4:00 p.m. is given by

P(X \geq 4)=1- \frac{4-1}{4}\\P(X \geq 4)=0.25=25\%

Thus, 25% of deliveries are made after 4:00 p/m.

7 0
3 years ago
Simplify the rational expression<br> x^2-25÷x^2+x-6 × x+3÷×-5
aliina [53]

Answer:

 x - 6

 —————

 x + 5

Step-by-step explanation:

4 0
3 years ago
To solve 2x + 9 = 21, what is the first step?
Oxana [17]
D.) Subtracting 9 from each side.
4 0
3 years ago
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